Solveeit Logo

Question

Question: The value of a for which equation ln (alnx) = lnx has a solution is –...

The value of a for which equation ln (alnx) = lnx has a

solution is –

A

e

B

1/e

C

e2

D

e3

Answer

e

Explanation

Solution

\ ln x =xa\frac{x}{a}

The line y =xa\frac{x}{a} is tangent to y = lnx at x = a for a = e.